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Finding the Fourth Proportional to 2,057.99, 2,840.01 and 1,113.76

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Solution

The fourth proportional to 2,057.99, 2,840.01 and 1,113.76 is: 1,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.99 : 2,840.01 = 1,113.76 : x
  2. Step 2: Convert to fraction form
    2,057.99/2,840.01 = 1,113.76/x
  3. Step 3: Cross multiply
    2,057.99x = 2,840.01 × 1,113.76
  4. Step 4: Simplify right side
    2,057.99x = 3,163,099.17
  5. Step 5: Solve for x
    x = 3,163,099.17/2,057.99
  6. Step 6: Final answer
    x = 1,536.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.